76,218,119

29 × 31 × 149 × 569

76,218,119 factors as 29 × 31 × 149 × 569. Its 16 positive divisors give a proper-divisor sum of 5,861,881, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 29 × 31 × 149 × 569

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 82,080,000

Proper Divisor Sum 5,861,881

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #76218083 ← → #76218127

Radix Representation

Decimal	76218119
Binary	100100010101111111100000111 (27 bits)
Octal	0o442577407
Hexadecimal	0x48AFF07

Divisor Catalog (16)

1 29 31 149 569 899 4,321 4,619 16,501 17,639 84,781 133,951 511,531 2,458,649 2,628,211 76,218,119

Collatz Trajectory (148 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

76,218,119 228,654,358 114,327,179 342,981,538 171,490,769 514,472,308 257,236,154 128,618,077 385,854,232 192,927,116 96,463,558 48,231,779 144,695,338 72,347,669 217,043,008 108,521,504 54,260,752 27,130,376 13,565,188 6,782,594 3,391,297 10,173,892 5,086,946 2,543,473 7,630,420 3,815,210 1,907,605 5,722,816 2,861,408 1,430,704 715,352 357,676 178,838 89,419 268,258 134,129 402,388 201,194 100,597 301,792 150,896 75,448 37,724 18,862 9,431 28,294 14,147 42,442 21,221 63,664 31,832 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432

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